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Finding the Fourth Proportional to 9,488.44, 14,233.26 and 3,942.23

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Solution

The fourth proportional to 9,488.44, 14,233.26 and 3,942.23 is: 5,913.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,488.44 : 14,233.26 = 3,942.23 : x
  2. Step 2: Convert to fraction form
    9,488.44/14,233.26 = 3,942.23/x
  3. Step 3: Cross multiply
    9,488.44x = 14,233.26 × 3,942.23
  4. Step 4: Simplify right side
    9,488.44x = 56,110,784.57
  5. Step 5: Solve for x
    x = 56,110,784.57/9,488.44
  6. Step 6: Final answer
    x = 5,913.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.